-2*[4*(-2a-3)-(-3a)]=-6-3*[-3a-2*(29-4)]

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Solution for -2*[4*(-2a-3)-(-3a)]=-6-3*[-3a-2*(29-4)] equation:


Simplifying
-2[4(-2a + -3) + -1(-3a)] = -6 + -3[-3a + -2(29 + -4)]

Reorder the terms:
-2[4(-3 + -2a) + -1(-3a)] = -6 + -3[-3a + -2(29 + -4)]
-2[(-3 * 4 + -2a * 4) + -1(-3a)] = -6 + -3[-3a + -2(29 + -4)]
-2[(-12 + -8a) + -1(-3a)] = -6 + -3[-3a + -2(29 + -4)]

Remove parenthesis around (-3a)
-2[-12 + -8a + -1 * -3a] = -6 + -3[-3a + -2(29 + -4)]

Multiply -1 * -3
-2[-12 + -8a + 3a] = -6 + -3[-3a + -2(29 + -4)]

Combine like terms: -8a + 3a = -5a
-2[-12 + -5a] = -6 + -3[-3a + -2(29 + -4)]
[-12 * -2 + -5a * -2] = -6 + -3[-3a + -2(29 + -4)]
[24 + 10a] = -6 + -3[-3a + -2(29 + -4)]

Combine like terms: 29 + -4 = 25
24 + 10a = -6 + -3[-3a + -2(25)]

Multiply -2 * 25
24 + 10a = -6 + -3[-3a + -50]

Reorder the terms:
24 + 10a = -6 + -3[-50 + -3a]
24 + 10a = -6 + [-50 * -3 + -3a * -3]
24 + 10a = -6 + [150 + 9a]

Combine like terms: -6 + 150 = 144
24 + 10a = 144 + 9a

Solving
24 + 10a = 144 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.
24 + 10a + -9a = 144 + 9a + -9a

Combine like terms: 10a + -9a = 1a
24 + 1a = 144 + 9a + -9a

Combine like terms: 9a + -9a = 0
24 + 1a = 144 + 0
24 + 1a = 144

Add '-24' to each side of the equation.
24 + -24 + 1a = 144 + -24

Combine like terms: 24 + -24 = 0
0 + 1a = 144 + -24
1a = 144 + -24

Combine like terms: 144 + -24 = 120
1a = 120

Divide each side by '1'.
a = 120

Simplifying
a = 120

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